Review of current GPS methodologies for producing accurate time series and their error sources
Abstract The Global Positioning System (GPS) is an important tool to observe and model
geodynamic processes such as plate tectonics and post-glacial rebound. In the last three …
geodynamic processes such as plate tectonics and post-glacial rebound. In the last three …
Variable-order porous media equations: Application on modeling the S&P500 and Bitcoin price return
Y Tang, F Gharari, K Arias-Calluari… - Physical Review E, 2024 - APS
This article reveals a specific category of solutions for the 1+ 1 variable order (VO) nonlinear
fractional Fokker-Planck equations. These solutions are formulated using VO q-Gaussian …
fractional Fokker-Planck equations. These solutions are formulated using VO q-Gaussian …
Rényi entropy and divergence for VARFIMA processes based on characteristic and impulse response functions
JE Contreras-Reyes - Chaos, Solitons & Fractals, 2022 - Elsevier
Rényi entropy based on characteristic function has been used as an information measure
contained in wide-sense and real stationary vector autoregressive and moving average …
contained in wide-sense and real stationary vector autoregressive and moving average …
GPS vertical land motion corrections to sea‐level rise estimates in the Pacific Northwest
JP Montillet, TI Melbourne… - Journal of Geophysical …, 2018 - Wiley Online Library
Abstract We construct coastal Pacific Northwest profiles of vertical land motion (VLM) known
to bias long‐term tide‐gauge measurements of sea‐level rise (SLR) and use them to …
to bias long‐term tide‐gauge measurements of sea‐level rise (SLR) and use them to …
Introduction to geodetic time series analysis
MS Bos, JP Montillet, SDP Williams… - Geodetic time series …, 2020 - Springer
The previous chapter gave various examples of geophysical time series and the various
trajectory models that can be fitted to them. In this chapter we will focus on how the …
trajectory models that can be fitted to them. In this chapter we will focus on how the …
The art and science of trajectory modelling
Coordinate time series are, by definition, trajectories, so the kinematic models that
geodesists and geophysicists use to describe these time series are trajectory models. We …
geodesists and geophysicists use to describe these time series are trajectory models. We …
Critical infrastructure monitoring with global navigation satellite systems
This paper documents measured deformation within four global positioning system (GPS)
networks deployed on critical, heavy-engineered infrastructure in real time over a combined …
networks deployed on critical, heavy-engineered infrastructure in real time over a combined …
Long range dependence for stable random processes
We investigate long and short memory in α‐stable moving averages and max‐stable
processes with α‐Fréchet marginal distributions. As these processes are heavy‐tailed, we …
processes with α‐Fréchet marginal distributions. As these processes are heavy‐tailed, we …
Parameter estimation for Gegenbaeur Arfisma processes with infinite variance innovations
FAM Keïta, O Hili, SH Arnaud Kanga - … in Statistics-Theory and …, 2025 - Taylor & Francis
In this study, we consider the Gegenbauer ARFISMA process with α-stable innovations
which belong to the class of infinite variance time series. This is a finite parameter model that …
which belong to the class of infinite variance time series. This is a finite parameter model that …
Estimation of Additive Error in Mixed Spectra for Stable Processes
R Sabre - Statistica, 2017 - rivista-statistica.unibo.it
Consider a symmetric α stable process having a spectral representation with an additive
constant error. An estimator of that error and its rate of convergence are given. We study the …
constant error. An estimator of that error and its rate of convergence are given. We study the …